Fast noise in the Landau-Zener theory

Details Fast noise in the Landau-Zener theory Fast noise in the Landau-Zener theory

2002-12-01

arxiv.org/abs/cond-mat/0212016v3

Phys. Rev. B 67, 144303 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

28 pages, 5 figures

Scientific paper

10.1103/PhysRevB.67.144303

We study the influence of a fast noise on Landau-Zener transitions. We demonstrate that a fast colored noise much weaker than the conventional white noise can produce transitions itself or can change substantially the Landau-Zener transition probabilities. In the limit of fast colored or strong white noise we derive asymptotically exact formulae for transition probabilities and study the time evolution of a spin coupled to the noise and a sweeping magnetic field.

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